Conditional probability

Conditional probability is the likelihood of an event occurring given that another event has already happened. For example, if we know it is raining, the probability that someone is carrying an umbrella increases. We express this mathematically as P(A | B), meaning the probability of event A occurring given that event B is true. Understanding conditional probability helps in many everyday decisions and risk assessments, as it allows us to refine our expectations based on existing information. In essence, it focuses on a specific scenario to provide a clearer picture of probabilities at play.